Question

PLEASE HELP ME!

Answer 1

Answer:

28.7 meters

Step-by-step explanation:

Draw a diagram.  Let's say d is the distance between the anchor and the bottom of the tower, h is the height of the tower, and x is the length of the wire.

Using trigonometry, we can write two equations for the height of the tower:

h = d tan 65°

h = (d + 25) tan 35°

Setting these equal, we can solve for d.

d tan 65° = (d + 25) tan 35°

d tan 65° = d tan 35° + 25 tan 35°

d (tan 65° − tan 35°) = 25 tan 35°

d = 25 tan 35° / (tan 65° − tan 35°)

d ≈ 12.12

Now we can find x:

cos 65° = d / x

x = d / cos 65°

x ≈ 28.7

The wire is approximately 28.7 meters long.